46489881600 has 792 divisors, whose sum is σ = 179929531392. Its totient is φ = 11435212800.

The previous prime is 46489881563. The next prime is 46489881671. The reversal of 46489881600 is 618898464.

It is a super-2 number, since 2×46489881600² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164275059 + ... + 164275341.

Almost surely, 2^46489881600 is an apocalyptic number.

46489881600 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 46489881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89964765696).

46489881600 is an abundant number, since it is smaller than the sum of its proper divisors (133439649792).

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

46489881600 is a wasteful number, since it uses less digits than its factorization.

46489881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 46489881600 in words is "forty-six billion, four hundred eighty-nine million, eight hundred eighty-one thousand, six hundred".