21458734704 has 320 divisors, whose sum is σ = 71423285760. Its totient is φ = 6096384000.

The previous prime is 21458734699. The next prime is 21458734709. The reversal of 21458734704 is 40743785412.

21458734704 is a `hidden beast` number, since 21 + 4 + 587 + 3 + 47 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (21458734699) and next prime (21458734709).

It is a self number, because there is not a number n which added to its sum of digits gives 21458734704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21458734709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39664674 + ... + 39665214.

It is an arithmetic number, because the mean of its divisors is an integer number (223197768).

Almost surely, 2^21458734704 is an apocalyptic number.

21458734704 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 21458734704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35711642880).

21458734704 is an abundant number, since it is smaller than the sum of its proper divisors (49964551056).

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

21458734704 is a wasteful number, since it uses less digits than its factorization.

21458734704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 21458734704 in words is "twenty-one billion, four hundred fifty-eight million, seven hundred thirty-four thousand, seven hundred four".