31162653426144 has 48 divisors (see below), whose sum is σ = 81817028657280. Its totient is φ = 10385638327680.

The previous prime is 31162653426119. The next prime is 31162653426169. The reversal of 31162653426144 is 44162435626113.

It is an interprime number because it is at equal distance from previous prime (31162653426119) and next prime (31162653426169).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×31162653426144² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31162653426093 and 31162653426102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29363634 + ... + 30406385.

It is an arithmetic number, because the mean of its divisors is an integer number (1704521430360).

Almost surely, 2^{31162653426144} is an apocalyptic number.

It is an amenable number.

31162653426144 is an abundant number, since it is smaller than the sum of its proper divisors (50654375231136).

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

31162653426144 is a wasteful number, since it uses less digits than its factorization.

31162653426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59775463 (or 59775455 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 31162653426144 in words is "thirty-one trillion, one hundred sixty-two billion, six hundred fifty-three million, four hundred twenty-six thousand, one hundred forty-four".