361407157461504 has 960 divisors, whose sum is σ = 1392087972667392. Its totient is φ = 90843785625600.

The previous prime is 361407157461499. The next prime is 361407157461529. The reversal of 361407157461504 is 405164751704163.

It is a happy number.

361407157461504 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 0 + 7 + 1 + 5 + 74 + 61 + 504 = 666.

It is a super-3 number, since 3×361407157461504³ (a number of 45 digits) contains 333 as substring.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 296372524 + ... + 297589460.

Almost surely, 2^{361407157461504} 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 361407157461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696043986333696).

361407157461504 is an abundant number, since it is smaller than the sum of its proper divisors (1030680815205888).

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

361407157461504 is a wasteful number, since it uses less digits than its factorization.

361407157461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217019 (or 1216991 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 361407157461504 in words is "three hundred sixty-one trillion, four hundred seven billion, one hundred fifty-seven million, four hundred sixty-one thousand, five hundred four".