48548877092352 has 2880 divisors, whose sum is σ = 190101756708864. Its totient is φ = 12250178519040.

The previous prime is 48548877092347. The next prime is 48548877092357. The reversal of 48548877092352 is 25329077884584.

48548877092352 is a `hidden beast` number, since 4 + 8 + 5 + 48 + 87 + 70 + 92 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (48548877092347) and next prime (48548877092357).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48548877092357) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 217707968913 + ... + 217707969135.

Almost surely, 2^{48548877092352} is an apocalyptic number.

48548877092352 is a gapful number since it is divisible by the number (42) 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 48548877092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95050878354432).

48548877092352 is an abundant number, since it is smaller than the sum of its proper divisors (141552879616512).

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

48548877092352 is a wasteful number, since it uses less digits than its factorization.

48548877092352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 48548877092352 in words is "forty-eight trillion, five hundred forty-eight billion, eight hundred seventy-seven million, ninety-two thousand, three hundred fifty-two".