51454458432 has 336 divisors, whose sum is σ = 162888241152. Its totient is φ = 15432560640.

The previous prime is 51454458427. The next prime is 51454458437. The reversal of 51454458432 is 23485445415.

51454458432 is a `hidden beast` number, since 5 + 14 + 54 + 4 + 584 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (51454458427) and next prime (51454458437).

It is a super-2 number, since 2×51454458432² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51454458437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58009093 + ... + 58009979.

It is an arithmetic number, because the mean of its divisors is an integer number (484786432).

Almost surely, 2^51454458432 is an apocalyptic number.

51454458432 is a gapful number since it is divisible by the number (52) 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 51454458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81444120576).

51454458432 is an abundant number, since it is smaller than the sum of its proper divisors (111433782720).

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

51454458432 is a wasteful number, since it uses less digits than its factorization.

51454458432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1093 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The spelling of 51454458432 in words is "fifty-one billion, four hundred fifty-four million, four hundred fifty-eight thousand, four hundred thirty-two".