45662193720 has 256 divisors, whose sum is σ = 178817587200. Its totient is φ = 10218078720.

The previous prime is 45662193713. The next prime is 45662193727. The reversal of 45662193720 is 2739126654.

45662193720 is a `hidden beast` number, since 4 + 5 + 66 + 219 + 372 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45662193713) and next prime (45662193727).

It is a super-3 number, since 3×45662193720³ (a number of 33 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (45662193727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6609 + ... + 302271.

It is an arithmetic number, because the mean of its divisors is an integer number (698506200).

Almost surely, 2^45662193720 is an apocalyptic number.

45662193720 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 45662193720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89408793600).

45662193720 is an abundant number, since it is smaller than the sum of its proper divisors (133155393480).

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

45662193720 is a wasteful number, since it uses less digits than its factorization.

45662193720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295707 (or 295697 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 45662193720 in words is "forty-five billion, six hundred sixty-two million, one hundred ninety-three thousand, seven hundred twenty".