919816321536 has 840 divisors, whose sum is σ = 3375348562080. Its totient is φ = 248878780416.

The previous prime is 919816321499. The next prime is 919816321553. The reversal of 919816321536 is 635123618919.

919816321536 is a `hidden beast` number, since 9 + 1 + 9 + 81 + 6 + 3 + 21 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 347492565 + ... + 347495211.

Almost surely, 2^919816321536 is an apocalyptic number.

919816321536 is a gapful number since it is divisible by the number (96) 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 919816321536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687674281040).

919816321536 is an abundant number, since it is smaller than the sum of its proper divisors (2455532240544).

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

919816321536 is an equidigital number, since it uses as much as digits as its factorization.

919816321536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2678 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 919816321536 in words is "nine hundred nineteen billion, eight hundred sixteen million, three hundred twenty-one thousand, five hundred thirty-six".