48998294400 has 384 divisors, whose sum is σ = 185333673600. Its totient is φ = 11252736000.

The previous prime is 48998294393. The next prime is 48998294407. The reversal of 48998294400 is 449289984.

It is an interprime number because it is at equal distance from previous prime (48998294393) and next prime (48998294407).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48998294407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1994190 + ... + 2018610.

It is an arithmetic number, because the mean of its divisors is an integer number (482639775).

Almost surely, 2^48998294400 is an apocalyptic number.

48998294400 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 48998294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92666836800).

48998294400 is an abundant number, since it is smaller than the sum of its proper divisors (136335379200).

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

48998294400 is a wasteful number, since it uses less digits than its factorization.

48998294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24478 (or 24461 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 48998294400 in words is "forty-eight billion, nine hundred ninety-eight million, two hundred ninety-four thousand, four hundred".