18946451040 has 576 divisors, whose sum is σ = 71815403520. Its totient is φ = 4176691200.

The previous prime is 18946451021. The next prime is 18946451093. The reversal of 18946451040 is 4015464981.

It is a super-2 number, since 2×18946451040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18946450983 and 18946451001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30607851 + ... + 30608469.

It is an arithmetic number, because the mean of its divisors is an integer number (124679520).

Almost surely, 2^18946451040 is an apocalyptic number.

18946451040 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 18946451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35907701760).

18946451040 is an abundant number, since it is smaller than the sum of its proper divisors (52868952480).

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

18946451040 is a wasteful number, since it uses less digits than its factorization.

18946451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 18946451040 in words is "eighteen billion, nine hundred forty-six million, four hundred fifty-one thousand, forty".