546148268400 has 240 divisors, whose sum is σ = 2005739910144. Its totient is φ = 124439485440.

The previous prime is 546148268399. The next prime is 546148268437. The reversal of 546148268400 is 4862841645.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 546148268400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2560249 + ... + 2765351.

Almost surely, 2^546148268400 is an apocalyptic number.

546148268400 is a gapful number since it is divisible by the number (50) 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 546148268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002869955072).

546148268400 is an abundant number, since it is smaller than the sum of its proper divisors (1459591641744).

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

546148268400 is a wasteful number, since it uses less digits than its factorization.

546148268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205448 (or 205437 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 546148268400 in words is "five hundred forty-six billion, one hundred forty-eight million, two hundred sixty-eight thousand, four hundred".