215903116146432 has 288 divisors, whose sum is σ = 676309019339520. Its totient is φ = 60282056540160.

The previous prime is 215903116146413. The next prime is 215903116146451. The reversal of 215903116146432 is 234641611309512.

It is an interprime number because it is at equal distance from previous prime (215903116146413) and next prime (215903116146451).

It is a super-2 number, since 2×215903116146432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58276744 + ... + 61870712.

It is an arithmetic number, because the mean of its divisors is an integer number (2348295206040).

Almost surely, 2^{215903116146432} is an apocalyptic number.

215903116146432 is a gapful number since it is divisible by the number (22) 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 215903116146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338154509669760).

215903116146432 is an abundant number, since it is smaller than the sum of its proper divisors (460405903193088).

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

215903116146432 is a wasteful number, since it uses less digits than its factorization.

215903116146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594559 (or 3594545 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 215903116146432 in words is "two hundred fifteen trillion, nine hundred three billion, one hundred sixteen million, one hundred forty-six thousand, four hundred thirty-two".