1014789946896 has 480 divisors, whose sum is σ = 3400544851200. Its totient is φ = 288526233600.

The previous prime is 1014789946889. The next prime is 1014789946903. The reversal of 1014789946896 is 6986499874101.

1014789946896 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 78 + 9 + 9 + 468 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1014789946889) and next prime (1014789946903).

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

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, 319014426 + ... + 319017606.

It is an arithmetic number, because the mean of its divisors is an integer number (7084468440).

Almost surely, 2^{1014789946896} is an apocalyptic number.

1014789946896 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 1014789946896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700272425600).

1014789946896 is an abundant number, since it is smaller than the sum of its proper divisors (2385754904304).

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

1014789946896 is a wasteful number, since it uses less digits than its factorization.

1014789946896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 1014789946896 in words is "one trillion, fourteen billion, seven hundred eighty-nine million, nine hundred forty-six thousand, eight hundred ninety-six".