46638962472960 has 1152 divisors, whose sum is σ = 196936288174080. Its totient is φ = 10436611276800.

The previous prime is 46638962472959. The next prime is 46638962472967. The reversal of 46638962472960 is 6927426983664.

46638962472960 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 8 + 9 + 62 + 472 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46638962472967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355764225 + ... + 355895295.

It is an arithmetic number, because the mean of its divisors is an integer number (170951639040).

Almost surely, 2^{46638962472960} is an apocalyptic number.

46638962472960 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 46638962472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98468144087040).

46638962472960 is an abundant number, since it is smaller than the sum of its proper divisors (150297325701120).

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

46638962472960 is a wasteful number, since it uses less digits than its factorization.

46638962472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131137 (or 131105 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 46638962472960 in words is "forty-six trillion, six hundred thirty-eight billion, nine hundred sixty-two million, four hundred seventy-two thousand, nine hundred sixty".