361918554071256 has 320 divisors, whose sum is σ = 1278069699170880. Its totient is φ = 93122972282880.

The previous prime is 361918554071161. The next prime is 361918554071267. The reversal of 361918554071256 is 652170455819163.

361918554071256 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 1 + 8 + 554 + 0 + 71 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 361918554071193 and 361918554071202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72430381 + ... + 77265756.

It is an arithmetic number, because the mean of its divisors is an integer number (3993967809909).

It is a 1-persistent number, because it is pandigital, but 2⋅361918554071256 = 723837108142512 is not.

Almost surely, 2^{361918554071256} is an apocalyptic number.

361918554071256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361918554071256 is an abundant number, since it is smaller than the sum of its proper divisors (916151145099624).

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

361918554071256 is a wasteful number, since it uses less digits than its factorization.

361918554071256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149696216 (or 149696203 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 361918554071256 in words is "three hundred sixty-one trillion, nine hundred eighteen billion, five hundred fifty-four million, seventy-one thousand, two hundred fifty-six".