361376766406656 has 3120 divisors, whose sum is σ = 1508012081393664. Its totient is φ = 83822542848000.

The previous prime is 361376766406639. The next prime is 361376766406657. The reversal of 361376766406656 is 656604667673163.

361376766406656 is a `hidden beast` number, since 3 + 61 + 37 + 6 + 76 + 6 + 406 + 65 + 6 = 666.

It is a super-2 number, since 2×361376766406656² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (361376766406657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 113248750021 + ... + 113248753211.

Almost surely, 2^{361376766406656} is an apocalyptic number.

361376766406656 is a gapful number since it is divisible by the number (36) 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 361376766406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754006040696832).

361376766406656 is an abundant number, since it is smaller than the sum of its proper divisors (1146635314987008).

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

361376766406656 is a wasteful number, since it uses less digits than its factorization.

361376766406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3300 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 72.

The spelling of 361376766406656 in words is "three hundred sixty-one trillion, three hundred seventy-six billion, seven hundred sixty-six million, four hundred six thousand, six hundred fifty-six".