454015132000 has 96 divisors (see below), whose sum is σ = 1115817734304. Its totient is φ = 181556800000.

The previous prime is 454015131967. The next prime is 454015132013. The reversal of 454015132000 is 231510454.

It is a happy number.

It is a super-2 number, since 2×454015132000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17118750 + ... + 17145250.

It is an arithmetic number, because the mean of its divisors is an integer number (11623101399).

Almost surely, 2^454015132000 is an apocalyptic number.

454015132000 is a gapful number since it is divisible by the number (40) 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 454015132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557908867152).

454015132000 is an abundant number, since it is smaller than the sum of its proper divisors (661802602304).

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

454015132000 is a wasteful number, since it uses less digits than its factorization.

454015132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30809 (or 30791 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 454015132000 its reverse (231510454), we get a palindrome (454246642454).

The spelling of 454015132000 in words is "four hundred fifty-four billion, fifteen million, one hundred thirty-two thousand".