46752137952000 has 1152 divisors, whose sum is σ = 177679770428160. Its totient is φ = 10810766131200.

The previous prime is 46752137951929. The next prime is 46752137952061. The reversal of 46752137952000 is 25973125764.

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, 1339086544 + ... + 1339121456.

It is an arithmetic number, because the mean of its divisors is an integer number (154235911830).

Almost surely, 2^{46752137952000} is an apocalyptic number.

46752137952000 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 46752137952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88839885214080).

46752137952000 is an abundant number, since it is smaller than the sum of its proper divisors (130927632476160).

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

46752137952000 is a wasteful number, since it uses less digits than its factorization.

46752137952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35026 (or 35002 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 46752137952000 in words is "forty-six trillion, seven hundred fifty-two billion, one hundred thirty-seven million, nine hundred fifty-two thousand".