101948669064000 has 4032 divisors, whose sum is σ = 440320918931712. Its totient is φ = 23334220800000.

The previous prime is 101948669063921. The next prime is 101948669064061. The reversal of 101948669064000 is 460966849101.

It is a happy number.

101948669064000 is a `hidden beast` number, since 1 + 0 + 1 + 94 + 8 + 66 + 90 + 6 + 400 + 0 = 666.

It is a super-2 number, since 2×101948669064000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2486552903980 + ... + 2486552904020.

It is an arithmetic number, because the mean of its divisors is an integer number (109206577116).

Almost surely, 2^{101948669064000} is an apocalyptic number.

101948669064000 is a gapful number since it is divisible by the number (10) 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 101948669064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220160459465856).

101948669064000 is an abundant number, since it is smaller than the sum of its proper divisors (338372249867712).

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

101948669064000 is an frugal number, since it uses more digits than its factorization.

101948669064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 101948669064000 in words is "one hundred one trillion, nine hundred forty-eight billion, six hundred sixty-nine million, sixty-four thousand".