454693800672 has 144 divisors (see below), whose sum is σ = 1352794912560. Its totient is φ = 150223030272.

The previous prime is 454693800637. The next prime is 454693800689. The reversal of 454693800672 is 276008396454.

454693800672 is a `hidden beast` number, since 4 + 546 + 9 + 38 + 0 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 619954 + ... + 1137422.

It is an arithmetic number, because the mean of its divisors is an integer number (9394409115).

Almost surely, 2^454693800672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454693800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676397456280).

454693800672 is an abundant number, since it is smaller than the sum of its proper divisors (898101111888).

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

454693800672 is a wasteful number, since it uses less digits than its factorization.

454693800672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517607 (or 517587 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 454693800672 in words is "four hundred fifty-four billion, six hundred ninety-three million, eight hundred thousand, six hundred seventy-two".