19618146240 has 672 divisors, whose sum is σ = 81725414400. Its totient is φ = 3895541760.

The previous prime is 19618146221. The next prime is 19618146281. The reversal of 19618146240 is 4264181691.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×19618146240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19618146192 and 19618146201.

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, 18701236 + ... + 18702284.

It is an arithmetic number, because the mean of its divisors is an integer number (121615200).

Almost surely, 2^19618146240 is an apocalyptic number.

19618146240 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 19618146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40862707200).

19618146240 is an abundant number, since it is smaller than the sum of its proper divisors (62107268160).

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

19618146240 is a wasteful number, since it uses less digits than its factorization.

19618146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 19618146240 in words is "nineteen billion, six hundred eighteen million, one hundred forty-six thousand, two hundred forty".