2151461887344 has 360 divisors, whose sum is σ = 8043040212480. Its totient is φ = 529409260800.

The previous prime is 2151461887327. The next prime is 2151461887381. The reversal of 2151461887344 is 4437881641512.

It is a happy number.

2151461887344 is a `hidden beast` number, since 2 + 1 + 5 + 14 + 618 + 8 + 7 + 3 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 745249 + ... + 2204159.

It is an arithmetic number, because the mean of its divisors is an integer number (22341778368).

Almost surely, 2^{2151461887344} is an apocalyptic number.

2151461887344 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 2151461887344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021520106240).

2151461887344 is an abundant number, since it is smaller than the sum of its proper divisors (5891578325136).

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

2151461887344 is a wasteful number, since it uses less digits than its factorization.

2151461887344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458969 (or 1458953 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 2151461887344 in words is "two trillion, one hundred fifty-one billion, four hundred sixty-one million, eight hundred eighty-seven thousand, three hundred forty-four".