1457217011616 has 96 divisors (see below), whose sum is σ = 3914870496768. Its totient is φ = 474355741440.

The previous prime is 1457217011599. The next prime is 1457217011617. The reversal of 1457217011616 is 6161107127541.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1457217011617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24784045 + ... + 24842771.

It is an arithmetic number, because the mean of its divisors is an integer number (40779901008).

Almost surely, 2^{1457217011616} is an apocalyptic number.

1457217011616 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 1457217011616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957435248384).

1457217011616 is an abundant number, since it is smaller than the sum of its proper divisors (2457653485152).

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

1457217011616 is a wasteful number, since it uses less digits than its factorization.

1457217011616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64794 (or 64786 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 1457217011616 in words is "one trillion, four hundred fifty-seven billion, two hundred seventeen million, eleven thousand, six hundred sixteen".