454029888920454 has 288 divisors, whose sum is σ = 1237666567737600. Its totient is φ = 117748187948160.

The previous prime is 454029888920453. The next prime is 454029888920473.

454029888920454 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 2 + 9 + 8 + 88 + 92 + 0 + 454 = 666.

454029888920454 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×454029888920454² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454029888920453) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39313345072 + ... + 39313356620.

It is an arithmetic number, because the mean of its divisors is an integer number (4297453360200).

Almost surely, 2^{454029888920454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454029888920454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618833283868800).

454029888920454 is an abundant number, since it is smaller than the sum of its proper divisors (783636678817146).

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

454029888920454 is a wasteful number, since it uses less digits than its factorization.

454029888920454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15336 (or 15322 counting only the distinct ones).

The product of its (nonzero) digits is 1061683200, while the sum is 72.

The spelling of 454029888920454 in words is "four hundred fifty-four trillion, twenty-nine billion, eight hundred eighty-eight million, nine hundred twenty thousand, four hundred fifty-four".