1161531744450 has 768 divisors, whose sum is σ = 3897899089920. Its totient is φ = 221864832000.

The previous prime is 1161531744449. The next prime is 1161531744467. The reversal of 1161531744450 is 544471351611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 569656531 + ... + 569658569.

It is an arithmetic number, because the mean of its divisors is an integer number (5075389440).

Almost surely, 2^{1161531744450} is an apocalyptic number.

1161531744450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161531744450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948949544960).

1161531744450 is an abundant number, since it is smaller than the sum of its proper divisors (2736367345470).

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

1161531744450 is a wasteful number, since it uses less digits than its factorization.

1161531744450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 1161531744450 in words is "one trillion, one hundred sixty-one billion, five hundred thirty-one million, seven hundred forty-four thousand, four hundred fifty".