2161460624544 has 216 divisors, whose sum is σ = 6670587501396. Its totient is φ = 659968358400.

The previous prime is 2161460624503. The next prime is 2161460624549. The reversal of 2161460624544 is 4454260641612.

2161460624544 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 46 + 0 + 62 + 4 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2160370832400 + 1089792144 = 1469820^2 + 33012^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2161460624544.

It is not an unprimeable number, because it can be changed into a prime (2161460624549) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64233964 + ... + 64267604.

Almost surely, 2^{2161460624544} is an apocalyptic number.

2161460624544 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 2161460624544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335293750698).

2161460624544 is an abundant number, since it is smaller than the sum of its proper divisors (4509126876852).

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

2161460624544 is a wasteful number, since it uses less digits than its factorization.

2161460624544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33932 (or 33790 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2161460624544 in words is "two trillion, one hundred sixty-one billion, four hundred sixty million, six hundred twenty-four thousand, five hundred forty-four".