354165460638 has 144 divisors (see below), whose sum is σ = 835221573648. Its totient is φ = 100002988800.

The previous prime is 354165460591. The next prime is 354165460687. The reversal of 354165460638 is 836064561453.

It is a congruent number.

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, 15976170 + ... + 15998322.

It is an arithmetic number, because the mean of its divisors is an integer number (5800149817).

Almost surely, 2^354165460638 is an apocalyptic number.

354165460638 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 354165460638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417610786824).

354165460638 is an abundant number, since it is smaller than the sum of its proper divisors (481056113010).

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

354165460638 is a wasteful number, since it uses less digits than its factorization.

354165460638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22279 (or 22249 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 354165460638 in words is "three hundred fifty-four billion, one hundred sixty-five million, four hundred sixty thousand, six hundred thirty-eight".