916303752000 has 2240 divisors, whose sum is σ = 4285135895040. Its totient is φ = 188116992000.

The previous prime is 916303751999. The next prime is 916303752031. The reversal of 916303752000 is 257303619.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×916303752000² (a number of 25 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 319 ways as a sum of consecutive naturals, for example, 2417687811 + ... + 2417688189.

It is an arithmetic number, because the mean of its divisors is an integer number (1913007096).

Almost surely, 2^916303752000 is an apocalyptic number.

916303752000 is a gapful number since it is divisible by the number (90) 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 916303752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142567947520).

916303752000 is an abundant number, since it is smaller than the sum of its proper divisors (3368832143040).

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

916303752000 is a wasteful number, since it uses less digits than its factorization.

916303752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 916303752000 in words is "nine hundred sixteen billion, three hundred three million, seven hundred fifty-two thousand".