2151323545644 has 288 divisors, whose sum is σ = 7014201667200. Its totient is φ = 552045860352.

The previous prime is 2151323545639. The next prime is 2151323545669. The reversal of 2151323545644 is 4465453231512.

2151323545644 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 32 + 3 + 54 + 564 + 4 = 666.

It is a super-3 number, since 3×2151323545644³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2151323545644.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5758282 + ... + 6120494.

It is an arithmetic number, because the mean of its divisors is an integer number (24354866900).

Almost surely, 2^{2151323545644} 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 2151323545644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507100833600).

2151323545644 is an abundant number, since it is smaller than the sum of its proper divisors (4862878121556).

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

2151323545644 is a wasteful number, since it uses less digits than its factorization.

2151323545644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362294 (or 362275 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 2151323545644 in words is "two trillion, one hundred fifty-one billion, three hundred twenty-three million, five hundred forty-five thousand, six hundred forty-four".