361802196218016 has 48 divisors (see below), whose sum is σ = 1055256405638400. Its totient is φ = 120600732072384.

The previous prime is 361802196217999. The next prime is 361802196218033. The reversal of 361802196218016 is 610812691208163.

It is a happy number.

361802196218016 is a `hidden beast` number, since 3 + 6 + 1 + 8 + 0 + 2 + 1 + 9 + 621 + 8 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (361802196217999) and next prime (361802196218033).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×361802196218016³ (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 7 ways as a sum of consecutive naturals, for example, 209376270096 + ... + 209376271823.

It is an arithmetic number, because the mean of its divisors is an integer number (21984508450800).

Almost surely, 2^{361802196218016} is an apocalyptic number.

361802196218016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361802196218016 is an abundant number, since it is smaller than the sum of its proper divisors (693454209420384).

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

361802196218016 is a wasteful number, since it uses less digits than its factorization.

361802196218016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418752541938 (or 418752541924 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 361802196218016 in words is "three hundred sixty-one trillion, eight hundred two billion, one hundred ninety-six million, two hundred eighteen thousand, sixteen".