122737527963648 has 1200 divisors, whose sum is σ = 414295814870784. Its totient is φ = 35954113904640.

The previous prime is 122737527963643. The next prime is 122737527963653. The reversal of 122737527963648 is 846369725737221.

122737527963648 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 3 + 7 + 527 + 96 + 3 + 6 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (122737527963643) and next prime (122737527963653).

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 (122737527963643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30001838083 + ... + 30001842173.

Almost surely, 2^{122737527963648} is an apocalyptic number.

122737527963648 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 122737527963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207147907435392).

122737527963648 is an abundant number, since it is smaller than the sum of its proper divisors (291558286907136).

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

122737527963648 is an equidigital number, since it uses as much as digits as its factorization.

122737527963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4193 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 122737527963648 in words is "one hundred twenty-two trillion, seven hundred thirty-seven billion, five hundred twenty-seven million, nine hundred sixty-three thousand, six hundred forty-eight".