916974002853720 has 1152 divisors, whose sum is σ = 3743677444665600. Its totient is φ = 193481897011200.

The previous prime is 916974002853691. The next prime is 916974002853749. The reversal of 916974002853720 is 27358200479619.

916974002853720 is a `hidden beast` number, since 9 + 1 + 6 + 9 + 74 + 0 + 0 + 2 + 8 + 537 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (916974002853691) and next prime (916974002853749).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2187379735 + ... + 2187798905.

It is an arithmetic number, because the mean of its divisors is an integer number (3249720004050).

It is a 1-persistent number, because it is pandigital, but 2⋅916974002853720 = 1833948005707440 is not.

Almost surely, 2^{916974002853720} is an apocalyptic number.

916974002853720 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 916974002853720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871838722332800).

916974002853720 is an abundant number, since it is smaller than the sum of its proper divisors (2826703441811880).

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

916974002853720 is a wasteful number, since it uses less digits than its factorization.

916974002853720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419389 (or 419375 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 916974002853720 in words is "nine hundred sixteen trillion, nine hundred seventy-four billion, two million, eight hundred fifty-three thousand, seven hundred twenty".