916136122500 has 315 divisors, whose sum is σ = 3007978186521. Its totient is φ = 243958392000.

The previous prime is 916136122487. The next prime is 916136122511. The reversal of 916136122500 is 5221631619.

The square root of 916136122500 is 957150.

It is a perfect power (a square), and thus also a powerful number.

916136122500 is a `hidden beast` number, since 9 + 1 + 6 + 13 + 612 + 25 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 908708440644 + 7427681856 = 953262^2 + 86184^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1292152146 + ... + 1292152854.

Almost surely, 2^916136122500 is an apocalyptic number.

916136122500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

916136122500 is the 957150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 916136122500

916136122500 is an abundant number, since it is smaller than the sum of its proper divisors (2091842064021).

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

916136122500 is an frugal number, since it uses more digits than its factorization.

916136122500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 916136122500 by its sum of digits (36), we get a square (32980900410000 = 5742900²).

916136122500 divided by its sum of digits (36) gives a square (25448225625 = 159525²).

The spelling of 916136122500 in words is "nine hundred sixteen billion, one hundred thirty-six million, one hundred twenty-two thousand, five hundred".