1101588461427 has 16 divisors (see below), whose sum is σ = 1489775207040. Its totient is φ = 723946872000.

The previous prime is 1101588461423. The next prime is 1101588461473. The reversal of 1101588461427 is 7241648851011.

It is not a de Polignac number, because 1101588461427 - 2² = 1101588461423 is a prime.

It is a super-3 number, since 3×1101588461427³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1101588461423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6143949 + ... + 6320702.

It is an arithmetic number, because the mean of its divisors is an integer number (93110950440).

Almost surely, 2^{1101588461427} is an apocalyptic number.

1101588461427 is a deficient number, since it is larger than the sum of its proper divisors (388186745613).

1101588461427 is a wasteful number, since it uses less digits than its factorization.

1101588461427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12465074.

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 1101588461427 in words is "one trillion, one hundred one billion, five hundred eighty-eight million, four hundred sixty-one thousand, four hundred twenty-seven".