46109125379232 has 480 divisors, whose sum is σ = 146096685504000. Its totient is φ = 14212577820672.

The previous prime is 46109125379189. The next prime is 46109125379299. The reversal of 46109125379232 is 23297352190164.

It is a happy number.

46109125379232 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 9 + 12 + 537 + 92 + 3 + 2 = 666.

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

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, 6236858928 + ... + 6236866320.

It is an arithmetic number, because the mean of its divisors is an integer number (304368094800).

Almost surely, 2^{46109125379232} 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 46109125379232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73048342752000).

46109125379232 is an abundant number, since it is smaller than the sum of its proper divisors (99987560124768).

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

46109125379232 is a wasteful number, since it uses less digits than its factorization.

46109125379232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 46109125379232 in words is "forty-six trillion, one hundred nine billion, one hundred twenty-five million, three hundred seventy-nine thousand, two hundred thirty-two".