1231778759904 has 480 divisors, whose sum is σ = 4782213063936. Its totient is φ = 301121556480.

The previous prime is 1231778759903. The next prime is 1231778759923. The reversal of 1231778759904 is 4099578771321.

1231778759904 is a `hidden beast` number, since 1 + 2 + 31 + 7 + 7 + 8 + 7 + 599 + 0 + 4 = 666.

It is a super-3 number, since 3×1231778759904³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231778759903) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3211407 + ... + 3574449.

Almost surely, 2^{1231778759904} is an apocalyptic number.

1231778759904 is a gapful number since it is divisible by the number (14) 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 1231778759904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391106531968).

1231778759904 is an abundant number, since it is smaller than the sum of its proper divisors (3550434304032).

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

1231778759904 is a wasteful number, since it uses less digits than its factorization.

1231778759904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363100 (or 363083 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 1231778759904 in words is "one trillion, two hundred thirty-one billion, seven hundred seventy-eight million, seven hundred fifty-nine thousand, nine hundred four".