60901285693248 has 3360 divisors, whose sum is σ = 255027848413184. Its totient is φ = 13967686656000.

The previous prime is 60901285693231. The next prime is 60901285693291. The reversal of 60901285693248 is 84239658210906.

60901285693248 is a `hidden beast` number, since 6 + 0 + 9 + 0 + 1 + 28 + 569 + 3 + 2 + 48 = 666.

It is a super-2 number, since 2×60901285693248² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 224727991353 + ... + 224727991623.

Almost surely, 2^{60901285693248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60901285693248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127513924206592).

60901285693248 is an abundant number, since it is smaller than the sum of its proper divisors (194126562719936).

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

60901285693248 is a wasteful number, since it uses less digits than its factorization.

60901285693248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 60901285693248 in words is "sixty trillion, nine hundred one billion, two hundred eighty-five million, six hundred ninety-three thousand, two hundred forty-eight".