451211991552 has 720 divisors, whose sum is σ = 1600454856000. Its totient is φ = 119842799616.

The previous prime is 451211991551. The next prime is 451211991577. The reversal of 451211991552 is 255199112154.

451211991552 is a `hidden beast` number, since 4 + 5 + 1 + 2 + 1 + 1 + 9 + 91 + 552 = 666.

It is a super-2 number, since 2×451211991552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 451211991498 and 451211991507.

It is not an unprimeable number, because it can be changed into a prime (451211991551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 904232199 + ... + 904232697.

Almost surely, 2^451211991552 is an apocalyptic number.

451211991552 is a gapful number since it is divisible by the number (42) 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 451211991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800227428000).

451211991552 is an abundant number, since it is smaller than the sum of its proper divisors (1149242864448).

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

451211991552 is a wasteful number, since it uses less digits than its factorization.

451211991552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 625 counting only the distinct ones).

The product of its digits is 162000, while the sum is 45.

The spelling of 451211991552 in words is "four hundred fifty-one billion, two hundred eleven million, nine hundred ninety-one thousand, five hundred fifty-two".