46956462138720 has 960 divisors, whose sum is σ = 173781157777920. Its totient is φ = 11926683648000.

The previous prime is 46956462138653. The next prime is 46956462138727. The reversal of 46956462138720 is 2783126465964.

46956462138720 is a `hidden beast` number, since 4 + 6 + 9 + 564 + 62 + 1 + 3 + 8 + 7 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46956462138727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7019949136 + ... + 7019955824.

It is an arithmetic number, because the mean of its divisors is an integer number (181022039352).

It is a 1-persistent number, because it is pandigital, but 2⋅46956462138720 = 93912924277440 is not.

Almost surely, 2^{46956462138720} is an apocalyptic number.

46956462138720 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 46956462138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86890578888960).

46956462138720 is an abundant number, since it is smaller than the sum of its proper divisors (126824695639200).

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

46956462138720 is a wasteful number, since it uses less digits than its factorization.

46956462138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 46956462138720 in words is "forty-six trillion, nine hundred fifty-six billion, four hundred sixty-two million, one hundred thirty-eight thousand, seven hundred twenty".