1461922813638 has 288 divisors, whose sum is σ = 3867718667904. Its totient is φ = 412620905088.

The previous prime is 1461922813621. The next prime is 1461922813657. The reversal of 1461922813638 is 8363182291641.

It is a happy number.

1461922813638 is a `hidden beast` number, since 1 + 4 + 619 + 2 + 2 + 8 + 13 + 6 + 3 + 8 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1332654706 + ... + 1332655802.

It is an arithmetic number, because the mean of its divisors is an integer number (13429578708).

Almost surely, 2^{1461922813638} is an apocalyptic number.

1461922813638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461922813638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933859333952).

1461922813638 is an abundant number, since it is smaller than the sum of its proper divisors (2405795854266).

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

1461922813638 is a wasteful number, since it uses less digits than its factorization.

1461922813638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1739 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 1461922813638 in words is "one trillion, four hundred sixty-one billion, nine hundred twenty-two million, eight hundred thirteen thousand, six hundred thirty-eight".