364401145034454 has 384 divisors, whose sum is σ = 844732638756864. Its totient is φ = 103903974720000.

The previous prime is 364401145034383. The next prime is 364401145034477. The reversal of 364401145034454 is 454430541104463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93268783569 + ... + 93268787475.

It is an arithmetic number, because the mean of its divisors is an integer number (2199824580096).

Almost surely, 2^{364401145034454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364401145034454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422366319378432).

364401145034454 is an abundant number, since it is smaller than the sum of its proper divisors (480331493722410).

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

364401145034454 is a wasteful number, since it uses less digits than its factorization.

364401145034454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 364401145034454 in words is "three hundred sixty-four trillion, four hundred one billion, one hundred forty-five million, thirty-four thousand, four hundred fifty-four".