215731374144 has 448 divisors, whose sum is σ = 721758304512. Its totient is φ = 55856332800.

The previous prime is 215731374137. The next prime is 215731374179. The reversal of 215731374144 is 441473137512.

It is a super-3 number, since 3×215731374144³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 215731374096 and 215731374105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28468084 + ... + 28475660.

It is an arithmetic number, because the mean of its divisors is an integer number (1611067644).

Almost surely, 2^215731374144 is an apocalyptic number.

215731374144 is a gapful number since it is divisible by the number (24) 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 215731374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360879152256).

215731374144 is an abundant number, since it is smaller than the sum of its proper divisors (506026930368).

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

215731374144 is a wasteful number, since it uses less digits than its factorization.

215731374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694 (or 7684 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The spelling of 215731374144 in words is "two hundred fifteen billion, seven hundred thirty-one million, three hundred seventy-four thousand, one hundred forty-four".