18050698291968 has 576 divisors, whose sum is σ = 57530231700480. Its totient is φ = 5569162739712.

The previous prime is 18050698291931. The next prime is 18050698291999. The reversal of 18050698291968 is 86919289605081.

18050698291968 is a `hidden beast` number, since 1 + 8 + 0 + 506 + 9 + 8 + 29 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18050698291896 and 18050698291905.

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, 615063471 + ... + 615092817.

It is an arithmetic number, because the mean of its divisors is an integer number (99878874480).

Almost surely, 2^{18050698291968} is an apocalyptic number.

18050698291968 is a gapful number since it is divisible by the number (18) 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 18050698291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28765115850240).

18050698291968 is an abundant number, since it is smaller than the sum of its proper divisors (39479533408512).

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

18050698291968 is a wasteful number, since it uses less digits than its factorization.

18050698291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29521 (or 29501 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 72.

The spelling of 18050698291968 in words is "eighteen trillion, fifty billion, six hundred ninety-eight million, two hundred ninety-one thousand, nine hundred sixty-eight".