31451638046976 has 243 divisors, whose sum is σ = 105494506012623. Its totient is φ = 8985643914240.

The previous prime is 31451638046947. The next prime is 31451638046993. The reversal of 31451638046976 is 67964083615413.

It is a happy number.

The square root of 31451638046976 is 5608176.

It is a perfect power (a square), and thus also a powerful number.

31451638046976 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 163 + 8 + 0 + 469 + 7 + 6 = 666.

It is a super-3 number, since 3×31451638046976³ (a number of 41 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1884338791 + ... + 1884355481.

Almost surely, 2^{31451638046976} is an apocalyptic number.

31451638046976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31451638046976 is the 5608176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31451638046976

31451638046976 is an abundant number, since it is smaller than the sum of its proper divisors (74042867965647).

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

31451638046976 is an frugal number, since it uses more digits than its factorization.

31451638046976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33418 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 31451638046976 in words is "thirty-one trillion, four hundred fifty-one billion, six hundred thirty-eight million, forty-six thousand, nine hundred seventy-six".