13722498454000 has 160 divisors (see below), whose sum is σ = 37945221350400. Its totient is φ = 4701869395200.

The previous prime is 13722498453971. The next prime is 13722498454009. The reversal of 13722498454000 is 45489422731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722498454009) 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, 21795621 + ... + 22416379.

It is an arithmetic number, because the mean of its divisors is an integer number (237157633440).

Almost surely, 2^{13722498454000} is an apocalyptic number.

13722498454000 is a gapful number since it is divisible by the number (10) 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 13722498454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972610675200).

13722498454000 is an abundant number, since it is smaller than the sum of its proper divisors (24222722896400).

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

13722498454000 is a wasteful number, since it uses less digits than its factorization.

13722498454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622368 (or 622352 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 13722498454000 in words is "thirteen trillion, seven hundred twenty-two billion, four hundred ninety-eight million, four hundred fifty-four thousand".