46985233152 has 864 divisors, whose sum is σ = 164416089600. Its totient is φ = 11775836160.

The previous prime is 46985233091. The next prime is 46985233187. The reversal of 46985233152 is 25133258964.

It is a super-2 number, since 2×46985233152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1555200) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 527923924 + ... + 527924012.

It is an arithmetic number, because the mean of its divisors is an integer number (190296400).

Almost surely, 2^46985233152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46985233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82208044800).

46985233152 is an abundant number, since it is smaller than the sum of its proper divisors (117430856448).

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

46985233152 is a wasteful number, since it uses less digits than its factorization.

46985233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 48.

The spelling of 46985233152 in words is "forty-six billion, nine hundred eighty-five million, two hundred thirty-three thousand, one hundred fifty-two".