2354416747664 has 80 divisors (see below), whose sum is σ = 4853198661120. Its totient is φ = 1104524605440.

The previous prime is 2354416747619. The next prime is 2354416747667. The reversal of 2354416747664 is 4667476144532.

It is not an unprimeable number, because it can be changed into a prime (2354416747667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4966952 + ... + 5420280.

It is an arithmetic number, because the mean of its divisors is an integer number (60664983264).

Almost surely, 2^{2354416747664} 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 2354416747664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426599330560).

2354416747664 is an abundant number, since it is smaller than the sum of its proper divisors (2498781913456).

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

2354416747664 is a wasteful number, since it uses less digits than its factorization.

2354416747664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453688 (or 453682 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 59.

The spelling of 2354416747664 in words is "two trillion, three hundred fifty-four billion, four hundred sixteen million, seven hundred forty-seven thousand, six hundred sixty-four".