45984240192 has 224 divisors, whose sum is σ = 140656665600. Its totient is φ = 13112064000.

The previous prime is 45984240163. The next prime is 45984240199. The reversal of 45984240192 is 29104248954.

45984240192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45984240192² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45984240199) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6055534 + ... + 6063122.

Almost surely, 2^45984240192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45984240192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70328332800).

45984240192 is an abundant number, since it is smaller than the sum of its proper divisors (94672425408).

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

45984240192 is a wasteful number, since it uses less digits than its factorization.

45984240192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 45984240192 in words is "forty-five billion, nine hundred eighty-four million, two hundred forty thousand, one hundred ninety-two".