46858636480320 has 1512 divisors, whose sum is σ = 204265468113408. Its totient is φ = 9819184435200.

The previous prime is 46858636480181. The next prime is 46858636480423. The reversal of 46858636480320 is 2308463685864.

It is a happy number.

46858636480320 is a `hidden beast` number, since 4 + 6 + 8 + 586 + 3 + 6 + 48 + 0 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 1579259085 + ... + 1579288755.

Almost surely, 2^{46858636480320} is an apocalyptic number.

46858636480320 is a gapful number since it is divisible by the number (40) 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 46858636480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102132734056704).

46858636480320 is an abundant number, since it is smaller than the sum of its proper divisors (157406831633088).

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

46858636480320 is a wasteful number, since it uses less digits than its factorization.

46858636480320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29777 (or 29738 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 46858636480320 in words is "forty-six trillion, eight hundred fifty-eight billion, six hundred thirty-six million, four hundred eighty thousand, three hundred twenty".