18454457629440 has 1728 divisors, whose sum is σ = 78094823998464. Its totient is φ = 4084396130304.

The previous prime is 18454457629409. The next prime is 18454457629463. The reversal of 18454457629440 is 4492675445481.

It is a happy number.

18454457629440 is a `hidden beast` number, since 1 + 8 + 4 + 5 + 445 + 7 + 62 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 22314942307 + ... + 22314943133.

It is an arithmetic number, because the mean of its divisors is an integer number (45193763888).

Almost surely, 2^{18454457629440} is an apocalyptic number.

18454457629440 is a gapful number since it is divisible by the number (10) 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 18454457629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39047411999232).

18454457629440 is an abundant number, since it is smaller than the sum of its proper divisors (59640366369024).

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

18454457629440 is an equidigital number, since it uses as much as digits as its factorization.

18454457629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 18454457629440 in words is "eighteen trillion, four hundred fifty-four billion, four hundred fifty-seven million, six hundred twenty-nine thousand, four hundred forty".