1602468102144 has 1080 divisors, whose sum is σ = 5599929581568. Its totient is φ = 405775319040.

The previous prime is 1602468102043. The next prime is 1602468102173. The reversal of 1602468102144 is 4412018642061.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12617859009 + ... + 12617859135.

Almost surely, 2^{1602468102144} is an apocalyptic number.

1602468102144 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 1602468102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799964790784).

1602468102144 is an abundant number, since it is smaller than the sum of its proper divisors (3997461479424).

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

1602468102144 is a wasteful number, since it uses less digits than its factorization.

1602468102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 1602468102144 in words is "one trillion, six hundred two billion, four hundred sixty-eight million, one hundred two thousand, one hundred forty-four".