1351140950016 has 1440 divisors, whose sum is σ = 4973621667840. Its totient is φ = 358848921600.

The previous prime is 1351140949981. The next prime is 1351140950087. The reversal of 1351140950016 is 6100590411531.

1351140950016 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 140 + 9 + 500 + 1 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 25493225446 + ... + 25493225498.

It is an arithmetic number, because the mean of its divisors is an integer number (3453903936).

Almost surely, 2^{1351140950016} is an apocalyptic number.

1351140950016 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 1351140950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486810833920).

1351140950016 is an abundant number, since it is smaller than the sum of its proper divisors (3622480717824).

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

1351140950016 is a wasteful number, since it uses less digits than its factorization.

1351140950016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 1351140950016 in words is "one trillion, three hundred fifty-one billion, one hundred forty million, nine hundred fifty thousand, sixteen".