2148950793600 has 1152 divisors, whose sum is σ = 8675352241920. Its totient is φ = 502541107200.

The previous prime is 2148950793557. The next prime is 2148950793607. The reversal of 2148950793600 is 63970598412.

2148950793600 is a `hidden beast` number, since 2 + 1 + 48 + 9 + 507 + 93 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148950793607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1403624835 + ... + 1403626365.

It is an arithmetic number, because the mean of its divisors is an integer number (7530687710).

It is a 1-persistent number, because it is pandigital, but 2⋅2148950793600 = 4297901587200 is not.

Almost surely, 2^{2148950793600} is an apocalyptic number.

2148950793600 is a gapful number since it is divisible by the number (20) 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 2148950793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337676120960).

2148950793600 is an abundant number, since it is smaller than the sum of its proper divisors (6526401448320).

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

2148950793600 is a wasteful number, since it uses less digits than its factorization.

2148950793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 2148950793600 in words is "two trillion, one hundred forty-eight billion, nine hundred fifty million, seven hundred ninety-three thousand, six hundred".