1354152180864 has 128 divisors (see below), whose sum is σ = 4125661891200. Its totient is φ = 385503657984.

The previous prime is 1354152180853. The next prime is 1354152180883. The reversal of 1354152180864 is 4680812514531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164769 + ... + 1653920.

It is an arithmetic number, because the mean of its divisors is an integer number (32231733525).

Almost surely, 2^{1354152180864} is an apocalyptic number.

1354152180864 is a gapful number since it is divisible by the number (14) 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 1354152180864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062830945600).

1354152180864 is an abundant number, since it is smaller than the sum of its proper divisors (2771509710336).

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

1354152180864 is a wasteful number, since it uses less digits than its factorization.

1354152180864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818990 (or 1818978 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 1354152180864 in words is "one trillion, three hundred fifty-four billion, one hundred fifty-two million, one hundred eighty thousand, eight hundred sixty-four".