454546240512000 has 5376 divisors, whose sum is σ = 2004897206108160. Its totient is φ = 90519109632000.

The previous prime is 454546240511983. The next prime is 454546240512029. The reversal of 454546240512000 is 215042645454.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×454546240512000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3579104255937 + ... + 3579104256063.

It is an arithmetic number, because the mean of its divisors is an integer number (372934748160).

Almost surely, 2^{454546240512000} is an apocalyptic number.

454546240512000 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 454546240512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002448603054080).

454546240512000 is an abundant number, since it is smaller than the sum of its proper divisors (1550350965596160).

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

454546240512000 is a wasteful number, since it uses less digits than its factorization.

454546240512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 454546240512000 in words is "four hundred fifty-four trillion, five hundred forty-six billion, two hundred forty million, five hundred twelve thousand".