46151153534016 has 168 divisors, whose sum is σ = 133041052647360. Its totient is φ = 15295895829504.

The previous prime is 46151153533999. The next prime is 46151153534029. The reversal of 46151153534016 is 61043535115164.

46151153534016 is a `hidden beast` number, since 4 + 6 + 1 + 51 + 1 + 53 + 534 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78936970 + ... + 79519478.

Almost surely, 2^{46151153534016} 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 46151153534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66520526323680).

46151153534016 is an abundant number, since it is smaller than the sum of its proper divisors (86889899113344).

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

46151153534016 is a wasteful number, since it uses less digits than its factorization.

46151153534016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583313 (or 583300 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 46151153534016 in words is "forty-six trillion, one hundred fifty-one billion, one hundred fifty-three million, five hundred thirty-four thousand, sixteen".