545355949824 has 432 divisors, whose sum is σ = 1880241522432. Its totient is φ = 154423148544.

The previous prime is 545355949783. The next prime is 545355949837. The reversal of 545355949824 is 428949553545.

545355949824 is a `hidden beast` number, since 5 + 4 + 5 + 35 + 594 + 9 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×545355949824² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 49200987 + ... + 49212069.

Almost surely, 2^545355949824 is an apocalyptic number.

545355949824 is a gapful number since it is divisible by the number (54) 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 545355949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940120761216).

545355949824 is an abundant number, since it is smaller than the sum of its proper divisors (1334885572608).

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

545355949824 is a wasteful number, since it uses less digits than its factorization.

545355949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11234 (or 11208 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 63.

The spelling of 545355949824 in words is "five hundred forty-five billion, three hundred fifty-five million, nine hundred forty-nine thousand, eight hundred twenty-four".