3121461163664 has 160 divisors (see below), whose sum is σ = 6631032729600. Its totient is φ = 1419546940416.

The previous prime is 3121461163661. The next prime is 3121461163699. The reversal of 3121461163664 is 4663611641213.

3121461163664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3121461163664² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3121461163661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84576287 + ... + 84613185.

It is an arithmetic number, because the mean of its divisors is an integer number (41443954560).

Almost surely, 2^{3121461163664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121461163664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315516364800).

3121461163664 is an abundant number, since it is smaller than the sum of its proper divisors (3509571565936).

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

3121461163664 is a wasteful number, since it uses less digits than its factorization.

3121461163664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37117 (or 37111 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The spelling of 3121461163664 in words is "three trillion, one hundred twenty-one billion, four hundred sixty-one million, one hundred sixty-three thousand, six hundred sixty-four".