45861154800 has 60 divisors (see below), whose sum is σ = 146908569720. Its totient is φ = 12229640960.

The previous prime is 45861154793. The next prime is 45861154811. The reversal of 45861154800 is 845116854.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19107615 + ... + 19110014.

It is an arithmetic number, because the mean of its divisors is an integer number (2448476162).

Almost surely, 2^45861154800 is an apocalyptic number.

45861154800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45861154800 is an abundant number, since it is smaller than the sum of its proper divisors (101047414920).

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

45861154800 is a wasteful number, since it uses less digits than its factorization.

45861154800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38217650 (or 38217639 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

It can be divided in two parts, 45861 and 154800, that added together give a triangular number (200661 = T₆₃₃).

The spelling of 45861154800 in words is "forty-five billion, eight hundred sixty-one million, one hundred fifty-four thousand, eight hundred".