454215251200000 has 288 divisors, whose sum is σ = 1138843353735360. Its totient is φ = 181101107200000.

The previous prime is 454215251199979. The next prime is 454215251200013. The reversal of 454215251200000 is 2152512454.

It is a super-2 number, since 2×454215251200000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1990285899 + ... + 1990514101.

It is an arithmetic number, because the mean of its divisors is an integer number (3954317200470).

Almost surely, 2^{454215251200000} is an apocalyptic number.

454215251200000 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 454215251200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569421676867680).

454215251200000 is an abundant number, since it is smaller than the sum of its proper divisors (684628102535360).

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

454215251200000 is an frugal number, since it uses more digits than its factorization.

454215251200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228561 (or 228521 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 454215251200000 in words is "four hundred fifty-four trillion, two hundred fifteen billion, two hundred fifty-one million, two hundred thousand".