1012155006456 has 192 divisors, whose sum is σ = 3028280411520. Its totient is φ = 302838831360.

The previous prime is 1012155006439. The next prime is 1012155006479. The reversal of 1012155006456 is 6546005512101.

1012155006456 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 5 + 5 + 0 + 0 + 645 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1012155006456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147047991 + ... + 147054873.

It is an arithmetic number, because the mean of its divisors is an integer number (15772293810).

Almost surely, 2^{1012155006456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012155006456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514140205760).

1012155006456 is an abundant number, since it is smaller than the sum of its proper divisors (2016125405064).

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

1012155006456 is a wasteful number, since it uses less digits than its factorization.

1012155006456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9219 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 1012155006456 in words is "one trillion, twelve billion, one hundred fifty-five million, six thousand, four hundred fifty-six".