45829203840 has 1920 divisors, whose sum is σ = 218246054400. Its totient is φ = 8934064128.

The previous prime is 45829203839. The next prime is 45829203841. The reversal of 45829203840 is 4830292854.

45829203840 is a `hidden beast` number, since 4 + 582 + 9 + 20 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (45829203839) and next prime (45829203841).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45829203841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1992574069 + ... + 1992574091.

It is an arithmetic number, because the mean of its divisors is an integer number (113669820).

Almost surely, 2^45829203840 is an apocalyptic number.

45829203840 is a gapful number since it is divisible by the number (40) 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 45829203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109123027200).

45829203840 is an abundant number, since it is smaller than the sum of its proper divisors (172416850560).

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

45829203840 is a wasteful number, since it uses less digits than its factorization.

45829203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45829203840 in words is "forty-five billion, eight hundred twenty-nine million, two hundred three thousand, eight hundred forty".