454416123056412 has 192 divisors, whose sum is σ = 1171127733931008. Its totient is φ = 135991130880000.

The previous prime is 454416123056393. The next prime is 454416123056453. The reversal of 454416123056412 is 214650321614454.

It is a super-3 number, since 3×454416123056412³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8662614088 + ... + 8662666544.

It is an arithmetic number, because the mean of its divisors is an integer number (6099623614224).

Almost surely, 2^{454416123056412} 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 454416123056412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585563866965504).

454416123056412 is an abundant number, since it is smaller than the sum of its proper divisors (716711610874596).

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

454416123056412 is a wasteful number, since it uses less digits than its factorization.

454416123056412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54220 (or 54218 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 454416123056412 in words is "four hundred fifty-four trillion, four hundred sixteen billion, one hundred twenty-three million, fifty-six thousand, four hundred twelve".