361147071096 has 640 divisors, whose sum is σ = 1245537216000. Its totient is φ = 95482810368.

The previous prime is 361147071083. The next prime is 361147071107. The reversal of 361147071096 is 690170741163.

It is a super-2 number, since 2×361147071096² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 861925975 + ... + 861926393.

It is an arithmetic number, because the mean of its divisors is an integer number (1946151900).

Almost surely, 2^361147071096 is an apocalyptic number.

361147071096 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 361147071096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622768608000).

361147071096 is an abundant number, since it is smaller than the sum of its proper divisors (884390144904).

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

361147071096 is a wasteful number, since it uses less digits than its factorization.

361147071096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 361147071096 in words is "three hundred sixty-one billion, one hundred forty-seven million, seventy-one thousand, ninety-six".