361354066355136 has 56 divisors (see below), whose sum is σ = 956114536620544. Its totient is φ = 120447336211200.

The previous prime is 361354066355047. The next prime is 361354066355167. The reversal of 361354066355136 is 631553660453163.

It is a super-3 number, since 3×361354066355136³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25628590 + ... + 37142061.

It is an arithmetic number, because the mean of its divisors is an integer number (17073473868224).

Almost surely, 2^{361354066355136} is an apocalyptic number.

It is an amenable number.

361354066355136 is an abundant number, since it is smaller than the sum of its proper divisors (594760470265408).

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

361354066355136 is a wasteful number, since it uses less digits than its factorization.

361354066355136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62800649 (or 62800639 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 57.

The spelling of 361354066355136 in words is "three hundred sixty-one trillion, three hundred fifty-four billion, sixty-six million, three hundred fifty-five thousand, one hundred thirty-six".