4098454682112 has 2400 divisors, whose sum is σ = 16093612085760. Its totient is φ = 1030045040640.

The previous prime is 4098454682111. The next prime is 4098454682149. The reversal of 4098454682112 is 2112864548904.

4098454682112 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 4 + 546 + 82 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4098454682111) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 46050052564 + ... + 46050052652.

Almost surely, 2^{4098454682112} is an apocalyptic number.

4098454682112 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 4098454682112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046806042880).

4098454682112 is an abundant number, since it is smaller than the sum of its proper divisors (11995157403648).

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

4098454682112 is a wasteful number, since it uses less digits than its factorization.

4098454682112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4098454682112 in words is "four trillion, ninety-eight billion, four hundred fifty-four million, six hundred eighty-two thousand, one hundred twelve".