1623346401600 has 2520 divisors, whose sum is σ = 8023530157632. Its totient is φ = 317244211200.

The previous prime is 1623346401541. The next prime is 1623346401641. The reversal of 1623346401600 is 61046433261.

1623346401600 is a `hidden beast` number, since 1 + 6 + 2 + 3 + 3 + 4 + 6 + 40 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1187524117 + ... + 1187525483.

Almost surely, 2^{1623346401600} is an apocalyptic number.

1623346401600 is a gapful number since it is divisible by the number (10) 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 1623346401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011765078816).

1623346401600 is an abundant number, since it is smaller than the sum of its proper divisors (6400183756032).

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

1623346401600 is a wasteful number, since it uses less digits than its factorization.

1623346401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1623346401600 in words is "one trillion, six hundred twenty-three billion, three hundred forty-six million, four hundred one thousand, six hundred".