451793953128 has 768 divisors, whose sum is σ = 1493047296000. Its totient is φ = 111128371200.

The previous prime is 451793953123. The next prime is 451793953133. The reversal of 451793953128 is 821359397154.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (451793953123) and next prime (451793953133).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (451793953123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5076336508 + ... + 5076336596.

It is an arithmetic number, because the mean of its divisors is an integer number (1944072000).

Almost surely, 2^451793953128 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 451793953128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746523648000).

451793953128 is an abundant number, since it is smaller than the sum of its proper divisors (1041253342872).

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

451793953128 is a wasteful number, since it uses less digits than its factorization.

451793953128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The spelling of 451793953128 in words is "four hundred fifty-one billion, seven hundred ninety-three million, nine hundred fifty-three thousand, one hundred twenty-eight".