45098097408 has 288 divisors, whose sum is σ = 164141376000. Its totient is φ = 11893837824.

The previous prime is 45098097397. The next prime is 45098097413. The reversal of 45098097408 is 80479089054.

45098097408 is a `hidden beast` number, since 4 + 509 + 8 + 0 + 97 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 593143 + ... + 664841.

Almost surely, 2^45098097408 is an apocalyptic number.

45098097408 is a gapful number since it is divisible by the number (48) 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 45098097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82070688000).

45098097408 is an abundant number, since it is smaller than the sum of its proper divisors (119043278592).

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

45098097408 is a wasteful number, since it uses less digits than its factorization.

45098097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71744 (or 71724 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 45098097408 in words is "forty-five billion, ninety-eight million, ninety-seven thousand, four hundred eight".