1375216054464 has 448 divisors, whose sum is σ = 4471703341056. Its totient is φ = 364428066816.

The previous prime is 1375216054447. The next prime is 1375216054481. The reversal of 1375216054464 is 4644506125731.

It is an interprime number because it is at equal distance from previous prime (1375216054447) and next prime (1375216054481).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 362564952 + ... + 362568744.

It is an arithmetic number, because the mean of its divisors is an integer number (9981480672).

Almost surely, 2^{1375216054464} is an apocalyptic number.

1375216054464 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 1375216054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235851670528).

1375216054464 is an abundant number, since it is smaller than the sum of its proper divisors (3096487286592).

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

1375216054464 is a wasteful number, since it uses less digits than its factorization.

1375216054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 1375216054464 in words is "one trillion, three hundred seventy-five billion, two hundred sixteen million, fifty-four thousand, four hundred sixty-four".