120767263848 has 256 divisors, whose sum is σ = 429547622400. Its totient is φ = 30520177920.

The previous prime is 120767263831. The next prime is 120767263873. The reversal of 120767263848 is 848362767021.

120767263848 is a `hidden beast` number, since 120 + 76 + 72 + 6 + 384 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120767263794 and 120767263803.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 517261 + ... + 713507.

It is an arithmetic number, because the mean of its divisors is an integer number (1677920400).

Almost surely, 2^120767263848 is an apocalyptic number.

120767263848 is a gapful number since it is divisible by the number (18) 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 120767263848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214773811200).

120767263848 is an abundant number, since it is smaller than the sum of its proper divisors (308780358552).

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

120767263848 is a wasteful number, since it uses less digits than its factorization.

120767263848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196317 (or 196307 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 120767263848 in words is "one hundred twenty billion, seven hundred sixty-seven million, two hundred sixty-three thousand, eight hundred forty-eight".