46547066990592 has 1040 divisors, whose sum is σ = 160849608420864. Its totient is φ = 13138329600000.

The previous prime is 46547066990561. The next prime is 46547066990603. The reversal of 46547066990592 is 29509966074564.

46547066990592 is a `hidden beast` number, since 4 + 6 + 5 + 470 + 6 + 69 + 9 + 0 + 5 + 92 = 666.

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 46547066990592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116077473592 + ... + 116077473992.

Almost surely, 2^{46547066990592} is an apocalyptic number.

46547066990592 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 46547066990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80424804210432).

46547066990592 is an abundant number, since it is smaller than the sum of its proper divisors (114302541430272).

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

46547066990592 is a wasteful number, since it uses less digits than its factorization.

46547066990592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 46547066990592 in words is "forty-six trillion, five hundred forty-seven billion, sixty-six million, nine hundred ninety thousand, five hundred ninety-two".