1201561794048 has 640 divisors, whose sum is σ = 4225049579520. Its totient is φ = 294288261120.

The previous prime is 1201561793977. The next prime is 1201561794073. The reversal of 1201561794048 is 8404971651021.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1201561793988 and 1201561794006.

It is a congruent number.

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, 147481111 + ... + 147489257.

It is an arithmetic number, because the mean of its divisors is an integer number (6601639968).

Almost surely, 2^{1201561794048} 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 1201561794048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112524789760).

1201561794048 is an abundant number, since it is smaller than the sum of its proper divisors (3023487785472).

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

1201561794048 is a wasteful number, since it uses less digits than its factorization.

1201561794048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8258 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 1201561794048 in words is "one trillion, two hundred one billion, five hundred sixty-one million, seven hundred ninety-four thousand, forty-eight".