45783429120 has 1040 divisors, whose sum is σ = 193813738272. Its totient is φ = 10192158720.

The previous prime is 45783429101. The next prime is 45783429151. The reversal of 45783429120 is 2192438754.

45783429120 is a `hidden beast` number, since 4 + 578 + 34 + 29 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

It is a super-2 number, since 2×45783429120² (a number of 22 digits) contains 22 as substring.

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

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, 237219744 + ... + 237219936.

Almost surely, 2^45783429120 is an apocalyptic number.

45783429120 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 45783429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96906869136).

45783429120 is an abundant number, since it is smaller than the sum of its proper divisors (148030309152).

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

45783429120 is a wasteful number, since it uses less digits than its factorization.

45783429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45783429120 in words is "forty-five billion, seven hundred eighty-three million, four hundred twenty-nine thousand, one hundred twenty".