45148299840 has 336 divisors, whose sum is σ = 182275471872. Its totient is φ = 10040537088.

The previous prime is 45148299809. The next prime is 45148299869. The reversal of 45148299840 is 4899284154.

It is a happy number.

45148299840 is a `hidden beast` number, since 4 + 514 + 82 + 9 + 9 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715657 + ... + 776183.

Almost surely, 2^45148299840 is an apocalyptic number.

45148299840 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 45148299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91137735936).

45148299840 is an abundant number, since it is smaller than the sum of its proper divisors (137127172032).

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

45148299840 is a wasteful number, since it uses less digits than its factorization.

45148299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60594 (or 60581 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 45148299840 in words is "forty-five billion, one hundred forty-eight million, two hundred ninety-nine thousand, eight hundred forty".