46538193364992 has 1536 divisors, whose sum is σ = 178160726016000. Its totient is φ = 11691680071680.

The previous prime is 46538193364973. The next prime is 46538193365011. The reversal of 46538193364992 is 29946339183564.

46538193364992 is a `hidden beast` number, since 4 + 6 + 5 + 381 + 93 + 36 + 49 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (46538193364973) and next prime (46538193365011).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 46538193364992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5915617443 + ... + 5915625309.

It is an arithmetic number, because the mean of its divisors is an integer number (115990056000).

Almost surely, 2^{46538193364992} is an apocalyptic number.

46538193364992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46538193364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89080363008000).

46538193364992 is an abundant number, since it is smaller than the sum of its proper divisors (131622532651008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46538193364992 is a wasteful number, since it uses less digits than its factorization.

46538193364992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982 (or 7956 counting only the distinct ones).

The product of its digits is 906992640, while the sum is 72.

The spelling of 46538193364992 in words is "forty-six trillion, five hundred thirty-eight billion, one hundred ninety-three million, three hundred sixty-four thousand, nine hundred ninety-two".