451045401354192 has 320 divisors, whose sum is σ = 1228412519424000. Its totient is φ = 142460375629824.

The previous prime is 451045401354169. The next prime is 451045401354227. The reversal of 451045401354192 is 291453104540154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4833324909 + ... + 4833418227.

It is an arithmetic number, because the mean of its divisors is an integer number (3838789123200).

Almost surely, 2^{451045401354192} 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 451045401354192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614206259712000).

451045401354192 is an abundant number, since it is smaller than the sum of its proper divisors (777367118069808).

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

451045401354192 is a wasteful number, since it uses less digits than its factorization.

451045401354192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93858 (or 93852 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 451045401354192 in words is "four hundred fifty-one trillion, forty-five billion, four hundred one million, three hundred fifty-four thousand, one hundred ninety-two".