1012367414016 has 360 divisors, whose sum is σ = 3475189095840. Its totient is φ = 287130894336.

The previous prime is 1012367413979. The next prime is 1012367414141. The reversal of 1012367414016 is 6104147632101.

1012367414016 is a `hidden beast` number, since 1 + 0 + 1 + 236 + 7 + 414 + 0 + 1 + 6 = 666.

1012367414016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012367414016² (a number of 25 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 19860370 + ... + 19911278.

It is an arithmetic number, because the mean of its divisors is an integer number (9653303044).

Almost surely, 2^{1012367414016} is an apocalyptic number.

1012367414016 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 1012367414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737594547920).

1012367414016 is an abundant number, since it is smaller than the sum of its proper divisors (2462821681824).

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

1012367414016 is an equidigital number, since it uses as much as digits as its factorization.

1012367414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51081 (or 51058 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1012367414016 in words is "one trillion, twelve billion, three hundred sixty-seven million, four hundred fourteen thousand, sixteen".