2118762972144 has 960 divisors, whose sum is σ = 7959540556800. Its totient is φ = 534325413888.

The previous prime is 2118762972133. The next prime is 2118762972169. The reversal of 2118762972144 is 4412792678112.

It is a happy number.

2118762972144 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 7 + 629 + 7 + 2 + 1 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 600724909 + ... + 600728435.

It is an arithmetic number, because the mean of its divisors is an integer number (8291188080).

Almost surely, 2^{2118762972144} is an apocalyptic number.

2118762972144 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 2118762972144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979770278400).

2118762972144 is an abundant number, since it is smaller than the sum of its proper divisors (5840777584656).

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

2118762972144 is a wasteful number, since it uses less digits than its factorization.

2118762972144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3648 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 2118762972144 in words is "two trillion, one hundred eighteen billion, seven hundred sixty-two million, nine hundred seventy-two thousand, one hundred forty-four".