46452630435516 has 168 divisors, whose sum is σ = 126119472670800. Its totient is φ = 14946212897280.

The previous prime is 46452630435499. The next prime is 46452630435517. The reversal of 46452630435516 is 61553403625464.

46452630435516 is a `hidden beast` number, since 4 + 6 + 4 + 52 + 6 + 30 + 4 + 3 + 551 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46452630435517) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 319494676 + ... + 319640036.

It is an arithmetic number, because the mean of its divisors is an integer number (750711146850).

Almost surely, 2^{46452630435516} 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 46452630435516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63059736335400).

46452630435516 is an abundant number, since it is smaller than the sum of its proper divisors (79666842235284).

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

46452630435516 is a wasteful number, since it uses less digits than its factorization.

46452630435516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149191 (or 149174 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 46452630435516 in words is "forty-six trillion, four hundred fifty-two billion, six hundred thirty million, four hundred thirty-five thousand, five hundred sixteen".