16542401634 has 64 divisors (see below), whose sum is σ = 40138450560. Its totient is φ = 5008392000.

The previous prime is 16542401627. The next prime is 16542401641. The reversal of 16542401634 is 43610424561.

16542401634 is a `hidden beast` number, since 16 + 5 + 4 + 2 + 4 + 0 + 1 + 634 = 666.

It is an interprime number because it is at equal distance from previous prime (16542401627) and next prime (16542401641).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689724 + ... + 713304.

It is an arithmetic number, because the mean of its divisors is an integer number (627163290).

Almost surely, 2^16542401634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16542401634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069225280).

16542401634 is an abundant number, since it is smaller than the sum of its proper divisors (23596048926).

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

16542401634 is a wasteful number, since it uses less digits than its factorization.

16542401634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24784 (or 24778 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16542401634 in words is "sixteen billion, five hundred forty-two million, four hundred one thousand, six hundred thirty-four".