46349153141760 has 264 divisors, whose sum is σ = 183541268279616. Its totient is φ = 10594092072960.

The previous prime is 46349153141741. The next prime is 46349153141761. The reversal of 46349153141760 is 6714135194364.

46349153141760 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 9 + 1 + 531 + 41 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46349153141697 and 46349153141706.

It is not an unprimeable number, because it can be changed into a prime (46349153141761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71523226 + ... + 72168345.

Almost surely, 2^{46349153141760} is an apocalyptic number.

46349153141760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46349153141760 is an abundant number, since it is smaller than the sum of its proper divisors (137192115137856).

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

46349153141760 is a wasteful number, since it uses less digits than its factorization.

46349153141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143691609 (or 143691588 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 46349153141760 in words is "forty-six trillion, three hundred forty-nine billion, one hundred fifty-three million, one hundred forty-one thousand, seven hundred sixty".