21337154664 has 128 divisors (see below), whose sum is σ = 62383200000. Its totient is φ = 6079110912.

The previous prime is 21337154653. The next prime is 21337154669. The reversal of 21337154664 is 46645173312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (21337154669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3067062 + ... + 3074010.

It is an arithmetic number, because the mean of its divisors is an integer number (487368750).

Almost surely, 2^21337154664 is an apocalyptic number.

21337154664 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 21337154664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31191600000).

21337154664 is an abundant number, since it is smaller than the sum of its proper divisors (41046045336).

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

21337154664 is a wasteful number, since it uses less digits than its factorization.

21337154664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 7334 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The spelling of 21337154664 in words is "twenty-one billion, three hundred thirty-seven million, one hundred fifty-four thousand, six hundred sixty-four".