1657216444254 has 128 divisors (see below), whose sum is σ = 3875210035200. Its totient is φ = 462735863040.

The previous prime is 1657216444253. The next prime is 1657216444297. The reversal of 1657216444254 is 4524446127561.

It is a junction number, because it is equal to n+sod(n) for n = 1657216444197 and 1657216444206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1657216444253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111732619 + ... + 111747449.

It is an arithmetic number, because the mean of its divisors is an integer number (30275078400).

Almost surely, 2^{1657216444254} is an apocalyptic number.

1657216444254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1657216444254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937605017600).

1657216444254 is an abundant number, since it is smaller than the sum of its proper divisors (2217993590946).

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

1657216444254 is a wasteful number, since it uses less digits than its factorization.

1657216444254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278.

The product of its digits is 6451200, while the sum is 51.

The spelling of 1657216444254 in words is "one trillion, six hundred fifty-seven billion, two hundred sixteen million, four hundred forty-four thousand, two hundred fifty-four".