454838861675520 has 2112 divisors, whose sum is σ = 1896853303296000. Its totient is φ = 103053553827840.

The previous prime is 454838861675491. The next prime is 454838861675537. The reversal of 454838861675520 is 25576168838454.

454838861675520 is a `hidden beast` number, since 4 + 5 + 4 + 8 + 3 + 8 + 8 + 6 + 1 + 67 + 552 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 516275665480 + ... + 516275666360.

Almost surely, 2^{454838861675520} is an apocalyptic number.

454838861675520 is a gapful number since it is divisible by the number (40) 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 454838861675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948426651648000).

454838861675520 is an abundant number, since it is smaller than the sum of its proper divisors (1442014441620480).

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

454838861675520 is a wasteful number, since it uses less digits than its factorization.

454838861675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 454838861675520 in words is "four hundred fifty-four trillion, eight hundred thirty-eight billion, eight hundred sixty-one million, six hundred seventy-five thousand, five hundred twenty".