545434186752 has 880 divisors, whose sum is σ = 2023979274240. Its totient is φ = 142467268608.

The previous prime is 545434186729. The next prime is 545434186769. The reversal of 545434186752 is 257681434545.

545434186752 is a `hidden beast` number, since 5 + 4 + 543 + 41 + 8 + 6 + 7 + 52 = 666.

It is a super-2 number, since 2×545434186752² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 958583524 + ... + 958584092.

It is an arithmetic number, because the mean of its divisors is an integer number (2299976448).

Almost surely, 2^545434186752 is an apocalyptic number.

545434186752 is a gapful number since it is divisible by the number (52) 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 545434186752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011989637120).

545434186752 is an abundant number, since it is smaller than the sum of its proper divisors (1478545087488).

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

545434186752 is a wasteful number, since it uses less digits than its factorization.

545434186752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 721 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 545434186752 in words is "five hundred forty-five billion, four hundred thirty-four million, one hundred eighty-six thousand, seven hundred fifty-two".