46795142016 has 512 divisors, whose sum is σ = 169229260800. Its totient is φ = 12437618688.

The previous prime is 46795142003. The next prime is 46795142027. The reversal of 46795142016 is 61024159764.

46795142016 is a `hidden beast` number, since 46 + 79 + 514 + 20 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20586256 + ... + 20588528.

It is an arithmetic number, because the mean of its divisors is an integer number (330525900).

Almost surely, 2^46795142016 is an apocalyptic number.

46795142016 is a gapful number since it is divisible by the number (46) 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 46795142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84614630400).

46795142016 is an abundant number, since it is smaller than the sum of its proper divisors (122434118784).

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

46795142016 is a wasteful number, since it uses less digits than its factorization.

46795142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 46795142016 in words is "forty-six billion, seven hundred ninety-five million, one hundred forty-two thousand, sixteen".