45229649920 has 312 divisors, whose sum is σ = 136009785744. Its totient is φ = 14310309888.

The previous prime is 45229649917. The next prime is 45229649923. The reversal of 45229649920 is 2994692254.

It is an interprime number because it is at equal distance from previous prime (45229649917) and next prime (45229649923).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (45229649923) 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, 13044027 + ... + 13047493.

Almost surely, 2^45229649920 is an apocalyptic number.

45229649920 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 45229649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68004892872).

45229649920 is an abundant number, since it is smaller than the sum of its proper divisors (90780135824).

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

45229649920 is a wasteful number, since it uses less digits than its factorization.

45229649920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 45229649920 in words is "forty-five billion, two hundred twenty-nine million, six hundred forty-nine thousand, nine hundred twenty".