46663949435904 has 1408 divisors, whose sum is σ = 153829892298240. Its totient is φ = 14086200360960.

The previous prime is 46663949435863. The next prime is 46663949435969. The reversal of 46663949435904 is 40953494936664.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 221156158359 + ... + 221156158569.

Almost surely, 2^{46663949435904} 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 46663949435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76914946149120).

46663949435904 is an abundant number, since it is smaller than the sum of its proper divisors (107165942862336).

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

46663949435904 is a wasteful number, since it uses less digits than its factorization.

46663949435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1813985280, while the sum is 72.

The spelling of 46663949435904 in words is "forty-six trillion, six hundred sixty-three billion, nine hundred forty-nine million, four hundred thirty-five thousand, nine hundred four".