361971156096 has 192 divisors, whose sum is σ = 1185706866240. Its totient is φ = 104919091200.

The previous prime is 361971156061. The next prime is 361971156121. The reversal of 361971156096 is 690651179163.

It is a happy number.

361971156096 is a `hidden beast` number, since 3 + 6 + 1 + 9 + 71 + 1 + 560 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×361971156096² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329515 + ... + 912426.

It is an arithmetic number, because the mean of its divisors is an integer number (6175556595).

Almost surely, 2^361971156096 is an apocalyptic number.

361971156096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

361971156096 is an abundant number, since it is smaller than the sum of its proper divisors (823735710144).

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

361971156096 is a wasteful number, since it uses less digits than its factorization.

361971156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241995 (or 1241980 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 361971156096 in words is "three hundred sixty-one billion, nine hundred seventy-one million, one hundred fifty-six thousand, ninety-six".