361690550100 has 864 divisors, whose sum is σ = 1340554199040. Its totient is φ = 83492640000.

The previous prime is 361690550051. The next prime is 361690550153. The reversal of 361690550100 is 1055096163.

361690550100 is a `hidden beast` number, since 3 + 6 + 1 + 6 + 90 + 550 + 10 + 0 = 666.

It is a super-2 number, since 2×361690550100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 719066449 + ... + 719066951.

It is an arithmetic number, because the mean of its divisors is an integer number (1551567360).

Almost surely, 2^361690550100 is an apocalyptic number.

361690550100 is a gapful number since it is divisible by the number (30) 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 361690550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670277099520).

361690550100 is an abundant number, since it is smaller than the sum of its proper divisors (978863648940).

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

361690550100 is a wasteful number, since it uses less digits than its factorization.

361690550100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 361690550100 in words is "three hundred sixty-one billion, six hundred ninety million, five hundred fifty thousand, one hundred".