454196879136 has 1728 divisors, whose sum is σ = 1854373248000. Its totient is φ = 104613949440.

The previous prime is 454196879113. The next prime is 454196879137. The reversal of 454196879136 is 631978691454.

454196879136 is a `hidden beast` number, since 4 + 5 + 419 + 6 + 87 + 9 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454196879137) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5749327545 + ... + 5749327623.

Almost surely, 2^454196879136 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 454196879136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927186624000).

454196879136 is an abundant number, since it is smaller than the sum of its proper divisors (1400176368864).

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

454196879136 is a wasteful number, since it uses less digits than its factorization.

454196879136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 454196879136 in words is "four hundred fifty-four billion, one hundred ninety-six million, eight hundred seventy-nine thousand, one hundred thirty-six".