1018122513408 has 1584 divisors, whose sum is σ = 4059109949440. Its totient is φ = 239117598720.

The previous prime is 1018122513383. The next prime is 1018122513431. The reversal of 1018122513408 is 8043152218101.

It is a happy number.

1018122513408 is a `hidden beast` number, since 1 + 0 + 1 + 81 + 22 + 513 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8016712641 + ... + 8016712767.

Almost surely, 2^{1018122513408} is an apocalyptic number.

1018122513408 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 1018122513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029554974720).

1018122513408 is an abundant number, since it is smaller than the sum of its proper divisors (3040987436032).

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

1018122513408 is a wasteful number, since it uses less digits than its factorization.

1018122513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 1018122513408 in words is "one trillion, eighteen billion, one hundred twenty-two million, five hundred thirteen thousand, four hundred eight".