46478017600 has 168 divisors, whose sum is σ = 131193690368. Its totient is φ = 15875481600.

The previous prime is 46478017549. The next prime is 46478017631. The reversal of 46478017600 is 671087464.

It is a super-2 number, since 2×46478017600² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3027544 + ... + 3042856.

Almost surely, 2^46478017600 is an apocalyptic number.

46478017600 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 46478017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65596845184).

46478017600 is an abundant number, since it is smaller than the sum of its proper divisors (84715672768).

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

46478017600 is a wasteful number, since it uses less digits than its factorization.

46478017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15613 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 46478017600 in words is "forty-six billion, four hundred seventy-eight million, seventeen thousand, six hundred".