1018951917696 has 384 divisors, whose sum is σ = 3063620102400. Its totient is φ = 324675993600.

The previous prime is 1018951917691. The next prime is 1018951917701. The reversal of 1018951917696 is 6967191598101.

1018951917696 is a `hidden beast` number, since 1 + 0 + 18 + 9 + 519 + 17 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1018951917691) and next prime (1018951917701).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (1018951917691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2181909655 + ... + 2181910121.

It is an arithmetic number, because the mean of its divisors is an integer number (7978177350).

Almost surely, 2^{1018951917696} is an apocalyptic number.

1018951917696 is a gapful number since it is divisible by the number (16) 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 1018951917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531810051200).

1018951917696 is an abundant number, since it is smaller than the sum of its proper divisors (2044668184704).

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

1018951917696 is a wasteful number, since it uses less digits than its factorization.

1018951917696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 63.

The spelling of 1018951917696 in words is "one trillion, eighteen billion, nine hundred fifty-one million, nine hundred seventeen thousand, six hundred ninety-six".