46956195484128 has 480 divisors, whose sum is σ = 161226669542400. Its totient is φ = 13127048303616.

The previous prime is 46956195484109. The next prime is 46956195484151. The reversal of 46956195484128 is 82148459165964.

46956195484128 is a `hidden beast` number, since 4 + 6 + 9 + 5 + 6 + 19 + 5 + 484 + 128 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5678577978 + ... + 5678586246.

It is an arithmetic number, because the mean of its divisors is an integer number (335888894880).

Almost surely, 2^{46956195484128} is an apocalyptic number.

46956195484128 is a gapful number since it is divisible by the number (48) 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 46956195484128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80613334771200).

46956195484128 is an abundant number, since it is smaller than the sum of its proper divisors (114270474058272).

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

46956195484128 is a wasteful number, since it uses less digits than its factorization.

46956195484128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15004 (or 14987 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 46956195484128 in words is "forty-six trillion, nine hundred fifty-six billion, one hundred ninety-five million, four hundred eighty-four thousand, one hundred twenty-eight".