365479256148552 has 576 divisors, whose sum is σ = 1290187623628800. Its totient is φ = 91263273454080.

The previous prime is 365479256148547. The next prime is 365479256148569. The reversal of 365479256148552 is 255841652974563.

365479256148552 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 7 + 9 + 2 + 5 + 61 + 4 + 8 + 552 = 666.

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

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, 2788341177 + ... + 2788472247.

It is an arithmetic number, because the mean of its divisors is an integer number (2239909068800).

Almost surely, 2^{365479256148552} 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 365479256148552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645093811814400).

365479256148552 is an abundant number, since it is smaller than the sum of its proper divisors (924708367480248).

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

365479256148552 is a wasteful number, since it uses less digits than its factorization.

365479256148552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132858 (or 132838 counting only the distinct ones).

The product of its digits is 2177280000, while the sum is 72.

The spelling of 365479256148552 in words is "three hundred sixty-five trillion, four hundred seventy-nine billion, two hundred fifty-six million, one hundred forty-eight thousand, five hundred fifty-two".