31061464949520 has 240 divisors, whose sum is σ = 108183717882240. Its totient is φ = 8282639619072.

The previous prime is 31061464949519. The next prime is 31061464949539. The reversal of 31061464949520 is 2594946416013.

31061464949520 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 1 + 46 + 494 + 95 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×31061464949520² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685373421 + ... + 685418739.

It is an arithmetic number, because the mean of its divisors is an integer number (450765491176).

Almost surely, 2^{31061464949520} is an apocalyptic number.

31061464949520 is a gapful number since it is divisible by the number (30) 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 31061464949520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54091858941120).

31061464949520 is an abundant number, since it is smaller than the sum of its proper divisors (77122252932720).

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

31061464949520 is a wasteful number, since it uses less digits than its factorization.

31061464949520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80604 (or 80586 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 31061464949520 in words is "thirty-one trillion, sixty-one billion, four hundred sixty-four million, nine hundred forty-nine thousand, five hundred twenty".