45811854 has 48 divisors (see below), whose sum is σ = 110086704. Its totient is φ = 13651200.

The previous prime is 45811823. The next prime is 45811859.

45811854 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45811859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10182 + ... + 13974.

It is an arithmetic number, because the mean of its divisors is an integer number (2293473).

Almost surely, 2^45811854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45811854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55043352).

45811854 is an abundant number, since it is smaller than the sum of its proper divisors (64274850).

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

45811854 is a wasteful number, since it uses less digits than its factorization.

45811854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3873 (or 3870 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 45811854 is about 6768.4454640634. The cubic root of 45811854 is about 357.8156151302.

It can be divided in two parts, 45811 and 854, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 45811854 in words is "forty-five million, eight hundred eleven thousand, eight hundred fifty-four".