48295661400 has 384 divisors, whose sum is σ = 190487808000. Its totient is φ = 11017451520.

The previous prime is 48295661387. The next prime is 48295661411. The reversal of 48295661400 is 416659284.

48295661400 is a `hidden beast` number, since 4 + 8 + 29 + 5 + 6 + 614 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27177312 + ... + 27179088.

It is an arithmetic number, because the mean of its divisors is an integer number (496062000).

Almost surely, 2^48295661400 is an apocalyptic number.

48295661400 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 48295661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95243904000).

48295661400 is an abundant number, since it is smaller than the sum of its proper divisors (142192146600).

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

48295661400 is a wasteful number, since it uses less digits than its factorization.

48295661400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48295661400 in words is "forty-eight billion, two hundred ninety-five million, six hundred sixty-one thousand, four hundred".