48787294600000 has 336 divisors, whose sum is σ = 133369800661440. Its totient is φ = 17557862400000.

The previous prime is 48787294599983. The next prime is 48787294600003. The reversal of 48787294600000 is 649278784.

It is a happy number.

It is a super-2 number, since 2×48787294600000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48787294600003) 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, 213285691 + ... + 213514309.

It is an arithmetic number, because the mean of its divisors is an integer number (396933930540).

Almost surely, 2^{48787294600000} is an apocalyptic number.

48787294600000 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 48787294600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66684900330720).

48787294600000 is an abundant number, since it is smaller than the sum of its proper divisors (84582506061440).

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

48787294600000 is an equidigital number, since it uses as much as digits as its factorization.

48787294600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228764 (or 228734 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 48787294600000 in words is "forty-eight trillion, seven hundred eighty-seven billion, two hundred ninety-four million, six hundred thousand".