2154338134704 has 360 divisors, whose sum is σ = 7468798290720. Its totient is φ = 567365326848.

The previous prime is 2154338134691. The next prime is 2154338134721. The reversal of 2154338134704 is 4074318334512.

It is a happy number.

2154338134704 is a `hidden beast` number, since 2 + 1 + 543 + 3 + 8 + 1 + 34 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2154338134704.

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, 13383852 + ... + 13543860.

Almost surely, 2^{2154338134704} is an apocalyptic number.

2154338134704 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 2154338134704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734399145360).

2154338134704 is an abundant number, since it is smaller than the sum of its proper divisors (5314460156016).

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

2154338134704 is a wasteful number, since it uses less digits than its factorization.

2154338134704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160105 (or 160077 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2154338134704 in words is "two trillion, one hundred fifty-four billion, three hundred thirty-eight million, one hundred thirty-four thousand, seven hundred four".