45815496679134 has 288 divisors, whose sum is σ = 127044106795008. Its totient is φ = 11671721568000.

The previous prime is 45815496679097. The next prime is 45815496679229. The reversal of 45815496679134 is 43197669451854.

45815496679134 is a `hidden beast` number, since 4 + 5 + 8 + 1 + 549 + 6 + 6 + 79 + 1 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 357057529 + ... + 357185819.

It is an arithmetic number, because the mean of its divisors is an integer number (441125370816).

Almost surely, 2^{45815496679134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45815496679134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63522053397504).

45815496679134 is an abundant number, since it is smaller than the sum of its proper divisors (81228610115874).

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

45815496679134 is a wasteful number, since it uses less digits than its factorization.

45815496679134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128904 (or 128888 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 45815496679134 in words is "forty-five trillion, eight hundred fifteen billion, four hundred ninety-six million, six hundred seventy-nine thousand, one hundred thirty-four".